A finite class of orthogonal functions generated by Routh-Romanovski polynomials

Masjed-Jamei, Mohammad and Marcellán, Francisco and Huertas, Edmundo J. (2014). A finite class of orthogonal functions generated by Routh-Romanovski polynomials. "Complex Variables and Elliptic Equations", v. 59 (n. 2); pp. 162-171. ISSN 1747-6933. https://doi.org/10.1080/17476933.2012.727406.

Description

Title: A finite class of orthogonal functions generated by Routh-Romanovski polynomials
Author/s:
  • Masjed-Jamei, Mohammad
  • Marcellán, Francisco
  • Huertas, Edmundo J.
Item Type: Article
Título de Revista/Publicación: Complex Variables and Elliptic Equations
Date: 2014
ISSN: 1747-6933
Volume: 59
Subjects:
Freetext Keywords: Routh–Romanovski orthogonal polynomials; Fourier's transform; Cauchy's beta integral; Parseval's identity; hypergeometric functions; 42C05; 33C47; 33C45
Faculty: E.T.S.I. Caminos, Canales y Puertos (UPM)
Department: Otro
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

It is known that some orthogonal systems are mapped onto other orthogonal systems by the Fourier transform. In this article we introduce a finite class of orthogonal functions, which is the Fourier transform of Routh-Romanovski orthogonal polynomials, and obtain its orthogonality relation using Parseval identity.

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainMTM 2009-12740-C03-01UnspecifiedUnspecifiedUnspecified

More information

Item ID: 37399
DC Identifier: http://oa.upm.es/37399/
OAI Identifier: oai:oa.upm.es:37399
DOI: 10.1080/17476933.2012.727406
Official URL: http://www.tandfonline.com/doi/abs/10.1080/17476933.2012.727406
Deposited by: Memoria Investigacion
Deposited on: 03 Sep 2015 17:29
Last Modified: 03 Sep 2015 17:29
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